D-branes and Spinc structures
Abstract
It was recently pointed out by E. Witten that for a D-brane to consistently wrap a
submanifold of some manifold, the normal bundle must admit a Spinc structure. We examine
this constraint in the case of type II string compactifications with vanishing cosmological
constant, and argue that in all such cases, the normal bundle to a supersymmetric
cycle is automatically Spinc. © 1999 Published by Elsevier Science B.V. All rights
reserved.
Type
Journal articlePermalink
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Robert Bryant
Phillip Griffiths Professor of Mathematics
My research concerns problems in the geometric theory of partial differential equations.
More specifically, I work on conservation laws for PDE, Finsler geometry, projective
geometry, and Riemannian geometry, including calibrations and the theory of holonomy.
Much of my work involves or develops techniques for studying systems of partial differential
equations that arise in geometric problems. Because of their built-in invariance
properties, these systems often have specia
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